As someone certified to teach both TDI and PADI, I would say that, if anything, it is just the opposite.
Although PADI does offer an intro to tech class, most people go right through The Tec 40, 45, and 50 sequence. Those three courses are really designed to be steps in one course, and they start teaching the decompression theory immediately in Tec 40. When you are done with Tec 40, you are certified to do do 10 minutes of decompression using EANx 50 without going deeper than recreational depths. In Tec 45, the instruction on decompression theory and other aspects of technical diving continues, and when you are done, you are certified to do decompression with any oxygen percentage for any length of time up to a depth of 45 meters/150 feet. When you get to Tec 50, pretty much all the theory stuff is done already--the focus is on issues related to deeper diving and using two deco gases.
it is hard to describe the TDI program, because although it is technically designed in a sequence, the instructor does not have to teach it in that sequence. The instructor is allowed to take the Intro to Tech-Advanced Nitrox-Decompression Procedures skill sequence and mix them up for a student who has committed to take all the classes, and when that happens, the instructor can cut down the number of required dives. If the courses were taken in sequence, the student would not get any decompression theory at all in the first two courses--all of that is in the last course, Decompression Procedures. If the students were to take the courses in order, then the first two sets of divs would really be pretty minimal, in terms of skills--the dive skills are really piled on in the Decompression Procedures course. After completing the first two courses, the student would not be certified to do any decompression at all. Most people do not take the courses in sequence, though. What actually happens in the courses depends upon the judgment of the instructor, but regardless of those decisions, the student is not certified for decompression diving at any depth until Decompression Procedures is completed.